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The postulate or theorem that can be used to prove each pair of triangles congruent.
The given figure is:
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If the 2 angles and the non-included side of one triangle is congruent to the 2 angles and non-included side of another triangle, then the two triangles are congruent.
Label the diagram given:
Angle A is congruent to angle C and angle BDA is congruent to angle CDA.
According to the reflexive property of congruence, line BD is congruent to BD.
△BDA=∼△BDC (AAA Congruence Theorem).
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